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Finding the Fourth Proportional to 20,708.87, 31,060.07 and 6,857.87

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Solution

The fourth proportional to 20,708.87, 31,060.07 and 6,857.87 is: 10,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.87 : 31,060.07 = 6,857.87 : x
  2. Step 2: Convert to fraction form
    20,708.87/31,060.07 = 6,857.87/x
  3. Step 3: Cross multiply
    20,708.87x = 31,060.07 × 6,857.87
  4. Step 4: Simplify right side
    20,708.87x = 213,005,887.96
  5. Step 5: Solve for x
    x = 213,005,887.96/20,708.87
  6. Step 6: Final answer
    x = 10,285.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.